EC GATE 2011 - Online Test

Q1. Choose the word from the options given below that is most nearly opposite in meaning to the given word: Frequency
Answer : Option B
Explaination / Solution:

Periodicity is almost similar to frequency. Gradualness means something happening with time. Persistency is endurance. Rarity is opposite to frequency

Q2. The horse has played a little known but very important role in the field of medicine. Horses were injected with toxins of diseases until their blood built up immunities. Then a serum was made from their blood. Serums to fight with diphtheria and tetanus were developed this way. It can be inferred from the passage that horses were
Answer : Option B
Explaination / Solution:

Option B fits the sentence, as they built up immunities which helped humans create serums from their blood.

Q3. The question below consists of a pair of related words followed by four pairs of words. Select the pair that best expresses the relation in the original pair: Gladiator : Arena
Answer : Option A
Explaination / Solution:

A gladiator performs in an arena. Commutators use trains. Lawyers performs, but do not entertain like a gladiator. Similarly, teachers educate. Only dancers performs on a stage.

Q4. Choose the most appropriate word from the options given below to complete the following sentence: It was her view that the country’s problems had been_________ by foreign technocrats, so that to invite them to come back would be counter-productive.
Answer : Option C
Explaination / Solution:

The sentence implies that technocrats are counterproductive (negative). Only (C) can bring the same meaning.

Q5. Choose the most appropriate word from the options given below to complete the following sentence: Under ethical guidelines recently adopted by the Indian Medical Association, human genes are to be manipulated only to correct diseases for which______________ treatments are unsatisfactory.
Answer : Option D
Explaination / Solution:

Available is appropriate because manipulation of genes will be done when other treatments are not useful.

Q6. Consider the following statements regarding the complex Poynting vector  for the power radiated by a point source in an infinite homogeneous and lossless medium. Re() denotes the real part of  denotes a spherical surface whose centre is at the point source, and denotes the unit surface normal on S. Which of the following statements is TRUE?
Answer : Option C
Explaination / Solution:

Power radiated from any source is constant.

Q7. Consider a closed surface S surrounding volume V. If  is the position vector of a point inside S, with  the unit normal on S, the value of the integral  is
Answer : Option D
Explaination / Solution:

From Divergence theorem, we have

The position vector 

Here, , thus


Q8. The circuit below implements a filter between the input current ii and the output voltage v0. Assume that the opamp is ideal. The filter implemented is a

Answer : Option D
Explaination / Solution:

From diagram we can write 

Transfer function


Q9. A current sheet   lies on the dielectric interface x = 0 between two dielectric media with εr1 = 5, μr1 = 1 in Region -1 (x < 0) and εr2 = 5,  μr2 = 2 in Region -2(x > 0) . If the magnetic field in Region-1 at x = 0- is the magnetic field in Region-2 at x = 0+ is


Answer : Option A
Explaination / Solution:

From boundary condition

Then from Boundary condition

Comparing we get A = 30 and B =- 10


Q10. The electric and magnetic fields for a TEM wave of frequency 14 GHz in a homogeneous medium of relative permittivity εr and relative permeability
   
Assuming the speed of light in free space to be 3 × 108 m/s, the intrinsic impedance of free space to be 120π, the relative permittivity εr of the medium and the electric field amplitude Ep are  
Answer : Option D
Explaination / Solution:

From the expressions of  we can write,